Re: One divided by Infinity

Alright. I've been thinking (Ragnarok!) and I've come up with this;

1/infinity = 0? XInfinity is -not- a number, thus a mathmatical symbol cannot do anything to it. Neither is a variable, it's a concept (For example, you're not going to have 1/law, are you?). Thusly, infinity is not a number, but it is a concept, thus cannot be used in such a way.But, if you're using infinity as a short-hand version of a long number, a really really long number, then express it like so; x = The Overall number.Infinity = (x+1) Continuously.That's not too clear, but I'll try and clean it up. X is a number, say 5. You have 5 people + 1 person you have 6. x stands for the number of people you have, thus you go back to the start and you x+1 again to get 7 people and you loop it.To show off my QBasic cleverness, here it is in a machine language;REM START$x=0Dox=$x$x=x+1LoopEND

- In all technicalities that'd work.

So, taking that you mean Infinity in that way, 1/infinity would be infinitesimally small, not 0.

Boy let me tell you what: I bet you didn't know it, but I'm a fiddle player too. And if you'd care to take a dare, I'll make a bet with you.

Re: One divided by Infinity

In mathematics, 1 divided by zero is consrued to be infinity.....There's a reason for that; when 1 is divided by an extrememly small number, like0.00000000000000000000000000000000000000000000000000000000000000001,the resultant is a very big number.On the other hand, When 1 is divided by an extremely large number, say a centillion,the resultant is so small that it is almost zero, repeat ALMOST zero, not zero....But what happens when we divide 1 by a number as big as infinity?The result is zero.When 1 is divided by an infinitely large number, the result is an infinitely small number,and when this infinitely small number is added to itself infinite number of times, the result would be exactly 1, not any more.This is difficult to prove, but the logic behind it is perfectly okay.If you are interested in knowing more about infinity,use any search engine and get information aboutHilbert's Hotel.

Re: One divided by Infinity

Let's consider the problem to findout the value of 1/infinity.Here the numerator doesnot suggest any specific law to findout the value of the fraction and a fraction, having numerator as 1, can take any possible value whether fininte of infinite,Now we consider the denominator, i.e., infinity. There are some specific rules to find out value of an expression having infinity as a term:-a) If infinity appears in the numerator the fraction takes the value infinityb) If infinity appears in the denominator the fraction takes the value zero.

Here rule (b) about infinty suggests that the value of this fraction 1/inifnity should be zero and the numerator 1 expesses the possibility of this value and there is no contradiction between the result obtained.